(3x+6)/(4x+6)=4/5

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Solution for (3x+6)/(4x+6)=4/5 equation: 



(3x+6)/(4x+6)=4/5

We move all terms to the left:

(3x+6)/(4x+6)-(4/5)=0



Domain of the equation: (4x+6)!=0

We move all terms containing x to the left, all other terms to the right

4x!=-6

x!=-6/4

x!=-1+1/2

x∈R



We add all the numbers together, and all the variables

(3x+6)/(4x+6)-(+4/5)=0

We get rid of parentheses

(3x+6)/(4x+6)-4/5=0

We calculate fractions


(15x+30)/(20x+30)+(-16x-24)/(20x+30)=0

We multiply all the terms by the denominator


(15x+30)+(-16x-24)=0

We get rid of parentheses

15x-16x+30-24=0

We add all the numbers together, and all the variables

-1x+6=0

We move all terms containing x to the left, all other terms to the right

-x=-6

x=-6/-1

x=+6

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